Math 133 Unit 2 Individual Project 2b

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MATH133 Unit 2 Individual Project 2 B

Typing hint: Type x2 as x^2 (shift 6 on the keyboard will give ^)

1) Solve the following quadratic equation by factoring:

a) x^2+7x+10=0

c) Compute the discriminant of the quadratic equation 3x^2+x+2=0.
Then write a brief sentence describing the number and type of solutions for this equation.

2) Use the graph of y = 7 – 6x – x^2 to answer the following:

see attached file

a) Without solving the equation (or factoring), determine the solutions to the equation 7 – 6x – x^2= 0 using only the graph.

b) Does this function have a maximum or a minimum?

c) What are the coordinates of the vertex in (x, y) form?

d) What is the equation of the axis of symmetry for this parabola?

3) The profit function for the Recklus Hang gliding Service is P(x) = -0.2x^2 + fx - m, where f represents the set up fee for a customer’s daily excursion and m represents the monthly hanger rental. Also, P represents the monthly profit in dollars of the small business where x is the number of flight excursions facilitated in that month.

a) If \$30 is charged for a set up fee, and the monthly hanger rental is \$600; write an equation for the profit, P, in terms of x.

b) How much is the profit when 40 flight excursions are sold in a month?

c) How many flight excursions must be sold in order to maximize the profit? Show your work algebraically. Trial and error is not an appropriate method of solution – use methods taught in class.

d) What is the maximum profit?

4) Graph the equation by completing the table and plotting the points. You may use Excel or another web-based graphing utility.
a) y = 3x - x2
Use the values of x provided in the table to find the y values. Show your work.

see attached file

c) Determine the two x-intercepts of this parabola in (x,y) form and explain how you found these ordered pairs in a sentence.

Full Step-by-Step Solutions using MathType in a Word Document.

Question Files
MATH133_U2IP2b.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U2IP2b
Level: College/ University
Tags:

American InterContinental University, AIU, MATH133, MATH133_U2IP2b

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Project Details
Question Files
MATH133_U2IP2b.pdf

Subjects: Algebra
Topic: MATH133, MATH133_U2IP2b
Level: College/ University
Tags:

American InterContinental University, AIU, MATH133, MATH133_U2IP2b

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